{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ThinkDSP\n",
    "\n",
    "This notebook contains solutions to exercises in Chapter 5: Autocorrelation\n",
    "\n",
    "Copyright 2015 Allen Downey\n",
    "\n",
    "License: [Creative Commons Attribution 4.0 International](http://creativecommons.org/licenses/by/4.0/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get thinkdsp.py\n",
    "\n",
    "import os\n",
    "\n",
    "if not os.path.exists('thinkdsp.py'):\n",
    "    !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/thinkdsp.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from thinkdsp import decorate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 1\n",
    "\n",
    "If you did the exercises in the previous chapter, you downloaded\n",
    "the historical price of BitCoins and estimated the power spectrum\n",
    "of the price changes.  Using the same data, compute the autocorrelation\n",
    "of BitCoin prices.  Does the autocorrelation function drop off quickly?  Is there evidence of periodic behavior?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "if not os.path.exists('BTC_USD_2013-10-01_2020-03-26-CoinDesk.csv'):\n",
    "    !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/BTC_USD_2013-10-01_2020-03-26-CoinDesk.csv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv('BTC_USD_2013-10-01_2020-03-26-CoinDesk.csv', \n",
    "                 parse_dates=[0])\n",
    "\n",
    "ys = df['Closing Price (USD)']\n",
    "ts = df.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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vLOOGC46MPH+3ejsiwgmH9s1IHXNNMNT2DO/5mkSRVIBS1bfSXRFjTNfgpZm31YL6y5xPowKUN4vC2lvPy0ANc0+wnSbUG8u3ZagmmdXeirrvqOrJIlJL9BRDAqiq9kxr7YwxeaexOf4YlD9HIuR+Id/2ynLunb06U1XLWaH2+vjyVHsr6p7s/uyRmeoYY/JdJIsvpotve21jq2P/8EZ1RuqU65rb6eLLV0mPQorIRBG5xn1MSGeljDH5qynkjEHFdvHt3NeUjeocFGJbUCP6lgNQdUh+r9Oa7I2638OZeby/+/iriPxnOitmjMlPibr4YgOWadEcig5QfboVAzCgVykQp7s0TySbxXcVcJyq7gMQkV8B7wH/m66KGWPyU6I089hWQriLjrvEE3tt9jYEqW8KEnIDV752ASYbdgVnEldPCLvt2xjTCd7SEaUxc/HFthKa8vRLtzO86aE81VvrGH/DqwTDzjUKa34mUiTbgvozMFdEnnWfX0SCiV+NMaYtG3bvp3d5Ed1Lor9+upXEBiwLUJ5d9c2tykJhZV9jS+Cat3Ynx4/Kr/vEkmpBqertwNeBncAu4Ouq+rt0VswYk5/CYY07S8RXjh3O+RMG+Y5rfW5XnQ60tqF1gILohQwvvXdOuzf0HmzaDFAicoyInAOgqh+q6p2q+ntgmLs0uzHGdEgorATiTLxXGCjgD185ihs+P9Y5Lk4wau+G1XzlzV8YK3al3XveWsWJv3w9E1XKiPZaUL8BlsUp/9jdZ4wxHbJ+Vz21DcGE+73gFW9MJR/HWZKRbIC67dUVbNzTwJ798VtcB5v2AlRfVV0bW6iq1UB+dXYaYzJizuqdrb5Y/QrcABVvfrmuGqASjcfVNjTTo7R1KsF9eTL7RnsBqqyNfd1SWRFjjAEISBstqC46BuXPaDx2ZJ/IdkNzmMruJZHn3nSGf3ijmvqmxH8EdFQorDz87lr2N4XaPziF2gtQr4nILSLRizGLyM+Bf6avWsaYrsrr4muM060VCnXNANUYDDOkoowlP5/CaYdXRu3bVtcyRZQ/fo/92Sspe//rZy7h+plLOe/Ot1P2msloL0D9FzAKqBaRp91HNTDG3dcmEXlQRLaKyBJfWR8RmSUiK92fvd1yEZE7RaRaRBaJyFG+c6a5x68UkWm+8qNFZLF7zp2xgdQYc/DxAtS+ON2AXTlJoqSwoFVqPrR9Q3NDc2paPO+s3A7A6u37UvJ6yWozQKnqPlW9DPgc8JD7OFtVL1XV2iRe/yFgakzZDOB1VR0NvO4+BzgHGO0+pgN3gxPQgOuB44Bjgeu9oOYeM913Xux7GWNySDJp4l6A2h/nyzVf1z1qT1MwHJl5IzYgXXPm6ITnfbhuV0revz7DXXueZGeSuE9V/+E+VgOISLu5jKo6G+feKb8LgYfd7Ydxbvr1yh9RxxygQkQGAVOAWaq6U1V3AbOAqe6+nqr6njq/9Y/4XssYk4OSaQF560LFG+/oqi0o/wrDsVdgzMDufPv0Q+Oe9271jpS8/1bfTPOZTFRp7z6oUhHpC/QTkd5u91wfERkBDO7kew5Q1U0A7s/+bvkQYL3vuBq3rK3ymjjl8T7HdBGZLyLzt23Lz4W9jDkYxBtXirV5TwMQ/6//rjoG1RRqaUHFNiJLCgN819eKGjOgB8//58lAepYrWZPBbr72WlDfBOYDRwAfAh+4j+eAu1Jcl3jjR9qJ8taFqveqapWqVlVWVsY7xBiTAYnu5/HzMvUW1exJuC9WQ3OIe95aFXfcKh80BcMUuy2o2G7O4sICyooDkRucS4sDjBvSC4DzfDNzpMpZt2dugfX2xqB+r6ojgR+p6kjfY6Kq/qGT77nF7Z7D/bnVLa8BhvmOGwpsbKd8aJxyY0yOip30NJ7PjR0AwJGDWy/YHYo3/xHOfT+3vvQJzy/Kz6+A+qYQ5cXOXIWxIdpbaqPM3e+NUR1a2S3Bn+wdk6pEi85or4vvTHdzg4h8IfbRyfecCXiZeNNwWmNe+RVuNt/xwB63C/AV4Gy3i7E3cDbwiruvVkSOd7P3rvC9ljEmB3lrQbWl0E2SiPfFmGgMyhsjyfR9OpmyvylEaUwA8ngrE3uzw3uBqqw4EDfRpKO2xVnpOFPam838NJz7nT4fZ58Cz7R1sog8BpyOM4ZVg5ONdyvwpIhcBawDLnEPfxE4F6gG6nEmp0VVd4rITcA897gbVdVLvPg2TqZgGfCS+zDG5ChvRoREg/rQkiQR9z6oBAHKe93imGXk88X+5hDlbgCKDTqxixV6N+4WBQqiZqBoDIa4583VfPO0Ua2WOmnL7JXZG7dvM0Cp6vXuz6935sXdFPV4PhvnWAWuTvA6DwIPximfD4zrTN2MMZnnzYgwaVhFwmMKA26AcltbE4b2YmjvMl5cvDlhgNrntpy8c/ONv4svNuW7t7u67va6JgD6dneeFxVEB6gn59dwx2srqG8Kcu25n0nqfVdvq+Onzzq3sf796pOY/sj8jK583O47ichpIjLB3f6SiPxBRH4gIiXtnWuMMX5ekkRxnOU2PC0zSThfxD+ecgSXVDnD0Fc+NL/V8e+u2s4/FjpjT3+duy6l9c0V/i6+6aeO4oiBPSL7epUVAXDe+EGM6teNq04eCTjBOujLevRaYI+892nSqxV7GZUAvcuLOPvIARntRm2zBSUidwETgFIRWQ50B14GTsRp0Vye9hoaY/KGt2puvPWgPIUFzr4GtwVVGBDUTdrdXtd6POQr982NbC9cvztldc0Vb63YRlMoHBkLGtmvGy9//1SWb66Nas0M7FXKP390euR5YaAg0rIE6ObOQrG/OcQX7n6Xv199Urvv7Z+cp7iwgLKiQEZv2m1vDOoMVR0rIqXABqC/qoZE5E/AovRXzxiTT1rGitpvQa3fVQ84SRP7GvNrIb6O+Mt7nwKwbFP05D1jfK2oeIoKJGoBQ38G5YIkA7l/wtniQAGFgYLIMvOZ0F4XXwOAqjYAn6pqyH2uQH4sOGKMyRhvDKqojbEiL0At3bgXcFoCm3xdTV1NXaPzVdsjzjx8bYnt4vMnnZQWJTeO5F8WpbQoQFGB0BxS7nqjOiNrTrX3ifuLyA9xbor1tnGf2x2vxpgOaQ56AaqtLj5p9dw/h9+zH9Vw8eShsaflLW9xx+5x1n1qS2GggGZfa8efYNLQHGblllpGD2i7FeYFqD9//Ri6lRRS6P67/eaV5TQGw/zwc4d3qE4d1V4YvQ/ogTP25G17z+9Pa82MMXnHa0HFpkb7xS4HXxgQepQWRZ7/4ImF7NzXlJ4K5qChvZ1l+c4b37FZIZwuvpagFHsP2cI4M3X4vbl8a2QW86pDnPm5/VmSe7PdglLVn6e9BsaYLqM51H4LKiCtW1AXTBzM959YECmbt3YnU44cyC5foKooL8rarNvpNLjCCVBfPLpjrcbCQEHUGFRs5l4b/wSoKv/+53mR592KnVDhz77MxKSxmUtoN8Z0ec1BN4uvjRZUQasuvoJWZbe+9AkAryzdHCm74vhDaAqGk1rSI9dt2rOfETNe4P63V7OvMcjAnqUdfo2igNAcTtyC2rBrf8Jzn1+0KbLdrTgQuf7+7tfYlm46WIAyxmRMMkkSsfw3m3oa3dkUvNTpX31xfCQz8M7XUz+Dd6Z56fI3v7CMRTV7Ojz+BE4A8begvHkMf+repHvbqysSnrthd0vw8se1ScN7R7bb6qZNlfbm4vue+7P9hHljjGmHd6NuSSD5qXZGVXZvVeZlpHnT/px4aL9It+EdryX+4j1YlBe3BKQtexsigbgjCgsKCIaUT3fs45H31kZaUF89/hAAxg1pPRmvx5suCaKnVprgzpKeKe2FQG+Ko/9Nd0WMMfkvMgZVmHwLyutK+qlvep5IgHLHnMqLA1F/6WciBTqd/BPl7m0I0r2k43MMOl18Yb72wPv87Lml7K53rklhQOhRUsiSDXujZorwS3Svk7+rtSlOyzbV2gtQy0RkLTBGRBb5HotFxG7UNcZ0SDJJEon4cyeaYlpQZcUB1myvi+y/7u9LDqCW2dcQjE4P71bc8RZUUcBpQa3b6dzwvMcNUAERKro5WZGf7oi/+GBzGwtDvvOTMwgUSNyu11Rrbz2oy4DjcWYY/7zvcT7xZzg3xpiEmtwvvth7nZLhH5Q/Z/xAoKUFVVoY4PMTWxb53rI3fstgT30z//PsYmobcruFFbvUSPdOdPGVFAaiEiOemL8eEacV9KsvTgASB6JgG8FnaO9yKruXRBJe0qndT62qm4GJIlIMeHdlLVfV3P4XNsbknMU1zuC/SMcDVIHvHG9m74bmEKVFTpbfKaNb5g5I9NX59Ic1PDp3HY/OXcfaW8/rcB0yoaE5xL2zV0eVdSZJIt5sEV6CY0WZM+N5okDtBa7bvzSRw+PczFtUmJkWVFKfWkROAx4B1uLMIjFMRKap6uw01s0Yk2feWJ7c2kLjhvRkyYa9UWWrt7V04TU0O+nkf4r5IvcMde8diuVvhTWHwp3qaky3I657uVVZZ5Ik3l+zM+G+nmXO63mzVMR6cYmTZn7u+EFx144qChTkxBiU53bgbFU9TVVPBaYAd6SvWsaYrqynb+YIz0bfgH5DcyjqeSxvaYpY/gCViZkQUqUzXXxjByfO0uvTrZgCgZrdre+F2lrbwEfrnJZuogBeHLMYYrokG6CKVHW590RVVwCtf4OMMSYBb7mIKUcOaPfYHe7ie0N8LSH/zNr7m0Os21Hf6rxBvZwbWpvjrMYL0WNfB9OsEx25b8zz/bMO5ydTj4i7r7y4kD7ditkRZ/mSpz/YENlOdDPuJ5treWXplg7XqaOSDVDzReQBETndfdwHfJDOihlj8ssxt7wGwML1bc8BB9DgLg3xiy+Mj5T5W1VvLt8W9y/459w1jhoSBCh/mnTs0um5IF7AAPjw046vcxUoEP79xBEJ95cUBqJmOPd0JH8l3a2oZAPUt4GlwHeB7wEfA99KV6WMMfnrxguPbPeYsLbO9rvl4vFRx+yqd1pZz/kW3uvfs5QjBvZolQXn8c8fl4stqN0Juh2nnzaqU6/nJUr8eOqYVvtKCgtojDM1lJeL0q974kXTvZZtOM3TSiUVoFS1UVVvV9UvqOrFqnqHqsYP9e0QkTEissD32Csi3xeRG0Rkg6/8XN8514pItYgsF5EpvvKpblm1iMzoTH2MMZk1aXhFu8d494n6u5j6dCuOOsYLQrGLH5YWBXh75TbG3/AKu+ujZz33p0/7uwxzRaKl2DszBgVOtuTaW8/jO6cf1mpfcWEB/1i4kfE3vBpV7q1o/Ng3jkv4upcfPxxoyQpMl4ynsKjqclWdpKqTgKOBeuBZd/cd3j5VfRFARMYClwJHAlOBP4pIQEQCwF3AOcBY4DL3WGNMDutVlvzwdVsTknpLwscO5JcWFdDQHKa2Icjdb66Ke46znXstKP99S3deNjmt7+XNpVfXGIxabdfrXh3auzzhuYLz75J3ASrGZ4FVqvppG8dcCDzutuLW4Nw0fKz7qFbV1araBDzuHmuMyWElhe1P2+N1HcUGqLW3nsdNF40DWgJMbALByH4tc/fFpqHPW9uSev1pnCSLbPN3QZ4wqi+3XDyOEw/ty4i+3VL+Xv5/hzH/7+XI9fSCeFuTwXr/LJrwjrPU6FCAEpFUX6VLgcd8z69xp1J6UES8aXOHAOt9x9S4ZYnKWxGR6SIyX0Tmb9uW3H0YxpjU2V3fxOThFZwyul9Sx8cbg/J460UlakENqWhZmuIS3xpK4bDy6sctmWe/dJfsyCX+ABUoEC4/7hAe/cbxrboxU6Ek5kbeHz+1iI837mX1tjpKClsvceLnjVOle0mopD61iJwoIh8Dy9znE0Xkjwfyxu7MFBcAf3OL7gYOBSYBm4DfeofGOV3bKG9dqHqvqlapalVlpa1Ub0wm/WPhRibdOIuP1u2OWvCuLV7XUbwuPu8lvHnkYgOUv2U0rE9LN9V2X4bcIX3LaQqGI1lod7+5ihEzXkg4BpQpIY0OUKn031PGRE24G5skMnPhRs69822eX7Qp7s25ft6sHuleeyvZkbc7cG7OnQmgqgtF5NQDfO9zgA9VdYv7mpE/bdw09ufdpzXAMN95Q4GN7naicrAMjJ4AACAASURBVGNMjpizekdkO9mZG7yvPW/A3s/7cnzmI+d+ndigN6JfS0ePPw169XYnoM045wjCqvz65eU0BZ3ZJH71stOaagyGKUtwk28meDfIQurXW7r6jOhEiQ8+3ZXw2MEJZuKIlRMtKABVXR9TdKAjjJfh694TkUG+fRcD3nTEM4FLRaREREYCo4H3gXnAaBEZ6bbGLnWPNcbkEP80PW2tpOunkTGo1vtiWxaFMWNQl1S1dOv5p+PxglXVIb0pc1sITTH3AcU+z7Sbnv8YcMZ42mvFpNO22sSzdIBvLsUcCVDrReREQEWkWER+hNvd1xkiUg58DnjGV/xr3zIeZwA/AFDVpcCTOPdevQxcraohVQ0C1wCvuHV50j3WGJNDynxftMnOiBCOdPG1/oqKDVCxrTL/Db3+GbeDoZbEC29MpykUZvaKlnHpxlBuZPb9OMEMEKnkLVj4zVNb32OVaI4+T64lSXwLuBonCaEGZ5zo6s6+qarWq2pfVd3jK/uaqo5X1QmqeoGqbvLtu0VVD1XVMar6kq/8RVU93N13S2frY4xJH//NnMmOQbWVJBGK6VeKDXqlRQEWXn82PUsLo7r4/GtRefVoCob57ayWFXiz3YLyuvUysZy6d2/UN04dxXEj+wDOOBVEp7vH413xnOjiU9Xtqnq5qg5Q1f6q+lVV3dH+mcaYrq6useWv8WTHoLxkhXiJAvNjxk7iLd3Rq6yI0qJA1Mqw3pduYSC6BTWgR8uMCdkOUN8+/VAALqka1s6RB+7c8YNYe+t59OtewsRhzs3TgQKhQKJXL47Hy/BLd5JEsll8D4tIhe95bxF5MH3VMsbki32+AJVsZlpLkkTr4y/0LUzYlqKAc8NuKKyoKjv2NbmvGd2C8mf6ZWIJibZ4nzcTLSg/7/0am8Os/uV5XHnyyDaP9/5V5q7Zyd8/2tDmsQci2aswQVUj6SWqugtI723Oxpi8sK+x4+M6baWZHzeqLze58/n9RxtfpMWFBTz70Qa+ePe7zFy4MbIMfJG/BRUM88A7ayLnNAXD7Klv5taXPqFmVz1fuW8O1z6zuMP17yyvlRfoxIKOB8JLyPDPKNEWr9X6nb9+yPefWJBw6fgDlWyaeYGI9HYDEyLSpwPnGmO6sH2dmPNOE8wk4fnaCSP48jHD27yBtWaXcz/UgvW7+d7jCyLlhYGCyHk79kVPKdoUDPOrVz7h0bnruOctZ5qkd1ft4JdfiJ6oNl1CYY0sy55JkRZUkl2csfFzUK/k0tI7Ktkg81vgXRF5yn1+CWBJCcaYdvm7+JIVbqMF5WlvdgVv2fJY5UWBSBfflQ/NB+CMMZW8sXwbjcEwG3a1XsQPnGmStu5t5LwJg+LuT4VQWON2a6bb8aP6AiQ904d3L9rwPuUMrihNy0wXkGSAUtVHRGQ+cCZO9+MXVPXjtNTIGJNX6jrTxUfbLagDUVYcaJV91sNNTa9vCvHWitbToR3+/16KJFCcN+G8lNfJEwpr5Ms/k8YN6UX1LedQmGQSi1fDxmCI4iTmVuysNmsjIj3dn32AzcCjwF+BzW6ZMca0qTPLWngBJB1f1iWFBYwf2iuq7JC+TqKEfyzFv9ifP7vv9WXpW0m2OZSdFhSQdHCCln+XLXsbk751oDPae+VH3Z8fAPN9D++5Mca0qTNdfLddMpFR/bod0Jdfoq44EYm6eRha0rtvfsGZf2Bgz1IGu5POTogJZjMXpm9GtfqmIN1LD4LhfV8M9cb60qHNK6Gq54uTrnGaqq5LWy2MMXkpHFa21zW1f2CMCyYO5oIk08kTuesrR7Gnfi7vVG9vtS8QtVLvOMqLW74Kv3naKKadMIKK8iIO69+dM8b05y9zPuWQvt345YvL2J/GlXhrG4OdXpwwk/wt208216btfdq9EqqqIvIszuKCxhiTlNeXbeGqh6M7WtJ9Y2cs/31Nx47oQ/+erZcxP+1wZ4WD3186iTEDe3DEwJ6RfWceMQCAK04YAcCvX/6k1UwWqVTbEKR7afILOmZLpjohkw3Vc0TkGFWdl9baGGPyxr2+xQJPGNWX91ZnfvKZ+75WxcQbnSXNn/zWCVH77vrKUVSUF0VWjr1wUtzl5KIUBgranQboQNQ1NNPjIGhBZSqPI9kO3jNwgtQqd0FBb1JXY4yJq6dvaffzJgyisEC49NjhGa1Dr/IiPp+gq/C8CYM46bDk0qo9hQWS1hbU1tpGepblfoDKVKZhslfinLTWwhiTV1Q1KiNuRN9uVP/i3KzU5c5LJ/H7L09KyWsFCiRqAtpUWr65lppd+9N6n1Wq+OPTzReNS9v7tBmgRKQUZybzw4DFwAPuMhfGGJPQfz+1iBVb6iLPs5Q5DThZe6n6g7+wQNI2oeyP/rYQIOGNwrnEnwX5haPa7xrtrPa6+B4GqnCC0zm0LMNujDEJPfVBTdTzY0bmx22T6RyDOta9Rv9xSuv1mXJNpW8G+HTcTO1pL0CNdZfW+BPwb8ApaauJMSZvTI9ZBC/ZZTZy3a59TSxYv5sF63e3f3AHfPlP7/HAO2soKSxg0rCK9k/IMn9afjontm3vt6bZ27CuPWNMsvyzITz7nROzWJPUWuuOqz0xL3W3haoqc9fsBKITS3KZfzmQbLagJorIXvdRC0zwtkVkb9pqZYw5qHmZbh/fOIXJw3tnuTapc89XndtBxw7u1c6RyfMv6NjzYJhFgpblOSD+gpGp0t5MEumbBdAYk7eCYaVbcSCqKygfHD6gh7ORohuOR8x4Ier54Ir0LFuRauUlmQkNWesYFpG17v1UC9yZ0hGRPiIyS0RWuj97u+UiIneKSLV7H9ZRvteZ5h6/UkSmZevzGGNahMKa1q6fbCkKOJ8p0VIeHRFvccBBvUoP+HUzoWeGZrvI9sjlGao6SVWr3OczgNdVdTTwuvscnAzC0e5jOnA3RGZZvx44DjgWuN4LasaY7MnXAOXN+B0MH3iq+Q+fWNiq7PQx/Q/4dfNJtgNUrAtxUttxf17kK39EHXOAChEZBEwBZqnqTne131nA1ExX2hgTLRhWAgW59vVy4Lzkj1Skmr+weFNk+/hRfZj//87i3PG5f5NuJmWzg1iBV0VEgT+p6r3AAFXdBKCqm0TE+3NiCLDed26NW5aoPIqITMdpeTF8eGanWjEm3y3fXMth/btHtZjCWVoZNt0iASoFXXye1354KiP6duvQekxdRTYD1EmqutENQrNE5JM2jo33m65tlEcXOMHvXoCqqqrMTqdsTB5bsmEP5//vO/x46hi+c/phkfK3V25j896GLNYsPQKRAJW62SQOreye1ky4dJn7P59Nezdu1gKUqm50f251l/M4FtgiIoPc1tMgYKt7eA0wzHf6UGCjW356TPmbaa66Mcb18UbnbpMVMWsCbdyTf8EJnJTqooDQnIIuvmNH9kFIb5p2Og3omf6Ejqy0KUWkm4j08LaBs4ElwEzAy8SbBjznbs8ErnCz+Y4H9rhdga8AZ4tIbzc54my3zBiTAau2O/Pt/X3BxkhWWtj98j42T6Y3ilVYUJCSFlRTMExxoXXrtSVbLagBwLPuXw6FwKOq+rKIzAOeFJGrgHXAJe7xLwLnAtVAPfB1AFXdKSI3Ad46VTeq6s7MfQxjurY99ZHJZnjjk21MHTeQ2gbnxtOzxw7IVrXSqjAgKUkzbw6FD2hJ+64gKwFKVVcDE+OU7wA+G6dcgasTvNaDwIOprqMxJrEn5q1jUc0edtW3LOdeWuR82b61chsAFeXFWalbutU2BHno3bXccMGRB/Q61oJqX37d5m2MyYifPL24VVldY5CmYJjvPvYRAAPiLK9uWjSFwnkziW662NUxxqTENY9+xGZfcsSoyu5ZrE367fa1Hjuj2VpQ7bKrY4xJmcvumxPZHpiBLK9smnTjrLjTFSXLWlDts6tjjDkgx49ysvW6lxSyYbezGuz5Ewbl5VRHADf5ljh/fuEmqrfW8fePNkSyF2OFwsrFf/wXby7fGinbVtvI9romyottPu62WIAyxnRYD9+yEI9PP4HzJwyKWjbiZt+XeL4p8gXehmCIs25/i+8/sYBzfv82U383O+o6AGyva+Sjdbv50d8WEQ4rZ93+Fsfc8hoAZx5hc++1xQKUMabD/OsBAZT5nh8xsEfeZvABrN6+L7K90W0xAizfUssnm2v5aN2uqOP/sXAjACJOF2j11rrIvhMP7Zvm2h7cLIvPGNNh9Y1BBvcqZdqJIwAo83VVjRnYI0u1yowVW1pmzbjrjVWt9jc0R9/E++d/rQWcbr1ttY0AfG7sAM48ov9BO4tEplgLyhjTIeGwsq8pxL9VDeObpx0KRH9pL4+Z9ijf+EPKyYf1a7X/0x372NvQcgNzbLr9v584gvuuqOKyY23i6vZYgDLGdEh9s5O51t23qurqbS3dXpOHV2S8Tpk045zPRLbDqq2yFW9+YRkn3/pPwJk098N1u+nX3QlSfbsVH/ANvl2JdfEZYzqk3k0C8C/nPrBXKVvd7qtLqobFPS9fHD6gO5cfN5zXlm1hcc0eGoOt5+Xb2xDkztdXcvusFQBMOXIAP55yBHm4RFZa2eUyxnTIo++vA5y0co+XFPHAtCqOGp7fi1qLCLdcPJ7mkFLbGKQpFOarxw/n7R+fEXWcF5zKigJcfcZh9CovokeGlkrPFxagjDEd8rvXVgJE3ecU6IJj/f7bvMYN7sWwPuW8d+2ZvPGj0zlycM/Ivt9fOonBFWVZqOHBzwKUMaZDRlV2A+DUwysjZd/97Gj6divm6EPyu/Xk9+x3TopsV5Q7LaNBvcoY2a8bD/77MRw1vIKK8iImDsvvMbl0sjEoY0yHNAXDnD12AL3KWrqrJg/vzQfXfS6Ltcq8YX3KOW5kH+au2UnPsuiuuwE9S3nGF8BM51gLyhjTIXv3N1uXleu688dyydFD837cLVssQBljolRvreO3ry7HWYYtmqpS1xiMmuqoKxs3pBe/uWRiq5k1TGrYb5kxJkLVmSsO4MqTRtK7W/SURbWNQcIancFnTLpYC8oYE/H6spYZt5/9aAPBUMs9Pn95by0TbngVgO7WgjIZkPEAJSLDROQNEVkmIktF5Htu+Q0iskFEFriPc33nXCsi1SKyXESm+MqnumXVIjIj05/FmHyzZ3/LFD03Pv8xE3/uBKRwWLnuuaWRfdaCMpmQjRZUEPgvVf0McDxwtYiMdffdoaqT3MeLAO6+S4EjganAH0UkICIB4C7gHGAscJnvdYwxnRA76rSvKcRxv3iNVdvqospPHV2JMemW8T+DVHUTsMndrhWRZcCQNk65EHhcVRuBNSJSDRzr7qtW1dUAIvK4e+zHaau8MXnsjNveZFecZcy37G3kc3fMjjz/9b9NaDU2ZUw6ZHUMSkRGAJOBuW7RNSKySEQeFBEvb3MIsN53Wo1blqjcGNNBqsqa7fvYXd9M7/K2p+OJN4O3MemQtQAlIt2Bp4Hvq+pe4G7gUGASTgvrt96hcU7XNsrjvdd0EZkvIvO3bdt2wHU3Jt/4Jzz15ouLt9rrPV892u6BMhmTlZFOESnCCU5/VdVnAFR1i2//fcDz7tMawD898lBgo7udqDyKqt4L3AtQVVUVN4gZ05Xtrm9Jjhjep5x//tdpFIiwt6GZ6X/5gPfX7AQsOcJkVjay+AR4AFimqrf7ygf5DrsYWOJuzwQuFZESERkJjAbeB+YBo0VkpIgU4yRSzMzEZzAm36zxLWM+d80OCgMFFBQIFeXF/OErkyP7/JOgGpNu2fhz6CTga8BiEVnglv0PThbeJJxuurXANwFUdamIPImT/BAErlbVEICIXAO8AgSAB1V1KcaYDlu7oyVA/ez86GTY/j1aFuSLnXPOmHTKRhbfO8QfP3qxjXNuAW6JU/5iW+cZY5Kzdvs+igMFLLtpatQyGrHa2mdMqtlMEsYY1mzfx/C+5QkD0ImH9s1wjYyxufiMMTgBamS/bgn3P3LlsfFTZI1JIwtQxnRxI2a8ANDmkhGFAetsMZlnv3XGdGH+yWDV2kgmx1iAMqYLe803e/mPpozJYk2Mac0ClDFd2B2zVgDw/k8/G5VObkwusABlTBe1va6R5Vtq+eZpoyw4mZxkAcqYPLWvMchX75/L7BXbqG1ojtq3c18TZ9z2JgBnfWZAFmpnTPssiy+FVJWG5jBlxYFsV8V0cXv2N0cWG3ynejvD+5Qz+8dnsHxzLVN+Nzvq2Lay94zJJmtBpdBj76/nMz97mUvueTfbVTFdwMottYyY8QLVW2sjZcFQmE179vOHf66MOnbdznreWrEtKjidMrofK24+x2aHMDnLWlAp9PcFGwCYt3ZXVLmq4syRa0zqPPivNQC8vGQz15zZg9qGZsbf8GrUMS9+9xSufGgem/c2MO3B9wFnwcEvHjXUApPJedaCSqFevok0p7grkC7ZsIeR177If/9tIcFQmN1xViw1pqOuf24Jj73vrNd5z1ur+e2ryznp1n9GHfPMd05k7OCe/O1bJ0TKCgS+VDXMgpM5KFgLKoW27m2IbC/fUsuimt3MXuEskPi3D2r42wc1AIwZ0IMHv34MQ2zhN9MJW2sbePi9TyPP6xqD/O8/qwE4Y0wlV5w4guNG9qG82PnvPaxPOc9+50T+68mF/PUbx2WlzsZ0hgWoFFlUs5uFNXuiyn767BIWb9jT6tjlW2r5vzmf8pOpR2SqeiYD6hqDjLv+Ff7t6KHcdsnEA3otVeXP/1rLnv3NVG+rY+veBkqLAtTs2s+n7tIYV59xKHe9sSpyzr9mnJnwj57Jw3vzzx+dfkB1MibTRLVrTW9SVVWl8+fPT/nrevOZnTK6H2+v3B6178YLj+SKE0a0OnZ0/+784gvj+eMb1UwYWsHnJw7isP492nwfVeU/Hp7PtrpGrjt/LEcP781LSzazcmst44f0YlCvMkZVdqO0yDIJM+2GmUt56N21rcpPGNWX0QO6859njqayR0mkvKE5xLqd9QypKCNQINQ3hVhYs5tPt+/jkfc+ZbVvEUHPhKG9GD+kF6ceXsmUIweyt6GZ+2ev5qqTR9Gr3NZqMgcnEflAVatalVuASg0v6Cy/eSpPzlvPdc85aydeMHEwd142OerYFxZt4upHP4z7Omd9ZgC//dJEepUVsb8p1Cpl/fL75/Cv6h3t1qdnaSEDe5Vy3xVVDO9TbkkaadQUDHPrS59EkhZilRYV0NDszHk3vE85Ywb2QFWZvXI7TcFw3HMARvQt57wJgzisf3fO+swASgoDFBfasLHJP4kClHXxpUBDcyiyXVIY4GsnjODP/1rL6u37uP1Lrbt6zpswiDmrD+Evc1rGEa47fyxPzFvHa8u2MPHnr/L5iYP5x8KNDKko45ozD6N3eRHPfLghEpzuv6KKa59dzLbaRs76TH8uqRrG1r0NlBQFeODtNSzfUsvehjpO+82bFAcKKAwIZ48dwCF9uzH91FF0K2n9Tx8OK5v3NjD4IB8bq2sM0q04EBWUH3hnDdvrGhnYs5Qzj+jP4g17OO3wylbXYf3OeppDYYb3KY/M4O1lYTaHwqzYUsvry7bSp1sxBSJ0Ly3kb/PX8/bK7fTrXswtF4/n1aVb+O5nD2NY73IK3GSEm5//mPvfWUN5cYA12/cREGHysAomDaugT7digmGltCjAgJ4lHDGwJ/26F1NRXpy5i2ZMDrIWVAo8OX89P35qETddeCRf83XltefTHft4bsFGvnP6oRQGClBVpvxuNiu21LV53ic3TU2qC2/G04t4fN56CgQG9ixl9/5m6pucYDpxaC9OOLQfH2/ay4i+5Xz5mGHMXLiRP721GhG4+vTDKCsOMHl4BceN7HvQZH15N6Ie1r87L33vFBbV7OHb//cBW2sbE55z8eQhlBcHWLB+N0s37o2UV5QXEQwp9U1BCgsKaAolbu2cPqaSB6cdEwlIxpjkWRefK9UBasH63Vx0178oCghLfj6FksIDG/sJhsLc9cYq7nhtBd88bRRfqhrGvDU7qd5ax9lHDmTy8AqKOrA2T2MwFFWnfyzcyH8+9lGH6zWkooy+3Ys5dXQl15x5GDMXbmTKkQPpVVbEvsYgxYUFvLh4E0s37qWuMcgFEwdzWP/uhFXbnedNValrDLK/KcTKrXW8uHgTZUUBAgGhrCjAkIoyjhjYk3FDesbtqmwMhthR18SH63ZxzaPxP1tFeRHfPu1QtuxtpHd5EXVNQe6dvRr/r/+hld04+pDeNDSH2VXfxCF9ywkrdC8pRICSogCH9ClnUEUpBSIMqSijMRiiOaQcMbCHdaMa00l5G6BEZCrweyAA3K+qt7Z1fKoC1Mcb9/KXOWt5c/k2Nu1p4M7LJnPBxMEH/LqZ8rf567lh5lLe/smZLN9cy9w1OygrCnDxUUNYv3M/YwY6N36+uHgzry/bQmGgIJIy79eztJC9DcE236tPt2L6dCtmd30TTcEwhYECCkQoLBDKigPUNjSzva71/WFFAaE5FP372bu8iP3NTlDwWnX+cZwCgdMOr4yc95lBPZg8vDdTjxzYqnXjdd01BkMUFhQcNK1EY/JNXgYoEQkAK4DPATXAPOAyVf040TkHEqDueWsVMxdspGdZIXNW7wScv65/fsGRfPHooZ16zYPJlr0N/PdTi5i9YhuDepXSr3sJirJkw16+ftIIxgzowTnjBlG9rY4PP91FSVEBdY1BlmzYQ3NIKRAY0LMUVQiGlVA4TH1TiO4lhQzrU05RQBjepxtHDu7JsD7lANQ3Bdm4u4GnPqjhzeVbGVJRxtDeZXQvLSQUdhbZ61FSSK/yYsYN7sm4Ib061MI0xmRfvgaoE4AbVHWK+/xaAFX9ZaJzDiRAXff3JcxcuJER/boxfkhPLpg4hKOGV3S55bBt6iZjTCrlaxbfEGC973kN0OpWeRGZDkwHGD58eKff7KaLxnHTReM6fX6+sOBkjMmEg/1P/3jflK2ahKp6r6pWqWpVZWVlBqpljDHmQB3sAaoGGOZ7PhTYmKW6GGOMSaGDPUDNA0aLyEgRKQYuBWZmuU7GGGNS4KAeg1LVoIhcA7yCk2b+oKouzXK1jDHGpMBBHaAAVPVF4MVs18MYY0xqHexdfMYYY/KUBShjjDE5yQKUMcaYnGQByhhjTE46qKc66gwR2QZ82u6BifUDtrd7VNdi16Q1uyat2TVpza6J4xBVbTWLQpcLUAdKRObHmzOqK7Nr0ppdk9bsmrRm16Rt1sVnjDEmJ1mAMsYYk5MsQHXcvdmuQA6ya9KaXZPW7Jq0ZtekDTYGZYwxJidZC8oYY0xOsgBljDEmJ1mA6gARmSoiy0WkWkRmZLs+mSIia0VksYgsEJH5blkfEZklIivdn73dchGRO91rtEhEjspu7VNHRB4Uka0issRX1uHrICLT3ONXisi0bHyWVEhwPW4QkQ3u78oCETnXt+9a93osF5EpvvK8+X8lIsNE5A0RWSYiS0Xke255l/09OSCqao8kHjjLeawCRgHFwEJgbLbrlaHPvhboF1P2a2CGuz0D+JW7fS7wEs5qx8cDc7Nd/xReh1OBo4Alnb0OQB9gtfuzt7vdO9ufLYXX4wbgR3GOHev+nykBRrr/lwL59v8KGAQc5W73AFa4n73L/p4cyMNaUMk7FqhW1dWq2gQ8DlyY5Tpl04XAw+72w8BFvvJH1DEHqBCRQdmoYKqp6mxgZ0xxR6/DFGCWqu5U1V3ALGBq+mufegmuRyIXAo+raqOqrgGqcf5P5dX/K1XdpKofutu1wDJgCF349+RAWIBK3hBgve95jVvWFSjwqoh8ICLT3bIBqroJnP+UQH+3vKtdp45eh65wfa5xu6se9Lqy6ILXQ0RGAJOBudjvSadYgEqexCnrKjn6J6nqUcA5wNUicmobx3bl6+SX6Drk+/W5GzgUmARsAn7rlnep6yEi3YGnge+r6t62Do1TlrfXpaMsQCWvBhjmez4U2JilumSUqm50f24FnsXpltnidd25P7e6h3e169TR65DX10dVt6hqSFXDwH04vyvQha6HiBThBKe/quozbrH9nnSCBajkzQNGi8hIESkGLgVmZrlOaSci3USkh7cNnA0swfnsXmbRNOA5d3smcIWbnXQ8sMfr2shTHb0OrwBni0hvt/vrbLcsL8SMN16M87sCzvW4VERKRGQkMBp4nzz7fyUiAjwALFPV23277PekM7KdpXEwPXAyblbgZB39NNv1ydBnHoWTWbUQWOp9bqAv8Dqw0v3Zxy0X4C73Gi0GqrL9GVJ4LR7D6bZqxvkL96rOXAfgSpwkgWrg69n+XCm+Hn9xP+8inC/fQb7jf+pej+XAOb7yvPl/BZyM0xW3CFjgPs7tyr8nB/KwqY6MMcbkJOviM8YYk5MsQBljjMlJFqCMMcbkJAtQxhhjcpIFKGOMMTnJApQxB0hE+vpm794cM5v3u2l6z8kicn+CfWtFpF8K3+txERmdqtczJlmWZm5MConIDUCdqt6W5vf5G3Czqi6Ms28tzv0021P0XqcBX1XVb6Ti9YxJlrWgjEkjEalzf54uIm+JyJMiskJEbhWRy0XkfXHW2jrUPa5SRJ4WkXnu46Q4r9kDmOAFJ7cF96qIfCQif8I3j5uI/N2d5HepN9GviFwlInf4jvmGiNzuzhrygogsFJElIvJl95C3gbNEpDBd18mYeCxAGZM5E4HvAeOBrwGHq+qxwP3Af7rH/B64Q1WPAb7o7otVRcsUQgDXA++o6mSc2RuG+/ZdqapHu+d8V0T64ixpcYE7ZxzA14E/4yznsFFVJ6rqOOBlAHXm1at2629MxthfRMZkzjx15yUUkVXAq275YuAMd/ssYKwzpRsAPUWkhzprC3kGAdt8z08FvgCgqi+IyC7fvu+KyMXu9jBgtKrOEZF/AueLyDKgSFUXi0gjcJuI/Ap4XlXf9r3OVmAw8EGnP70xHWQBypjMafRth33Pw7T8XywAensAdwAAAUtJREFUTlDV/W28zn6gNKas1WCyiJyOE/BOUNV6EXnTd979wP8An+C0nlDVFSJyNM7ccb8UkVdV9Ub3+FL3fY3JGOviMya3vApc4z0RkUlxjlkGHOZ7Phu43D3+HJwlwgF6Abvc4HQEzpLiAKjqXJwW1VdwJn1FRAYD9ar6f8BtOMu5ew7HmSzYmIyxFpQxueW7wF0isgjn/+ds4Fv+A1T1ExHp5ev6+znwmIh8CLwFrHMPfRn4lvtay4E5Me/1JDBJnSXFwRkb+42IhHFmKP82gIgMAPZrfi+bYnKQpZkbcxASkR8Ataoa916oJF/jeZyEjNeTeK+9qvpAZ9/LmM6wLj5jDk53Ez2mlTQRqRCRFTitojaDk2s38HBn3suYA2EtKGOMMTnJWlDGGGNykgUoY4wxOckClDHGmJxkAcoYY0xOsgBljDEmJ/1/kquqxODV9pYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from thinkdsp import Wave\n",
    "\n",
    "wave = Wave(ys, ts, framerate=1)\n",
    "wave.plot()\n",
    "decorate(xlabel='Time (days)',\n",
    "         ylabel='Price of BitCoin ($)')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here's the autocorrelation function using the statistical definition, which unbiases, normalizes, and standardizes; that is, it shifts the mean to zero, divides through by standard deviation, and divides the sum by N."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def autocorr(wave):\n",
    "    \"\"\"Computes and plots the autocorrelation function.\n",
    "\n",
    "    wave: Wave\n",
    "    \"\"\"\n",
    "    lags = np.arange(len(wave.ys)//2)\n",
    "    corrs = [serial_corr(wave, lag) for lag in lags]\n",
    "    return lags, corrs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def serial_corr(wave, lag=1):\n",
    "    \"\"\"Computes serial correlation with given lag.\n",
    "\n",
    "    wave: Wave\n",
    "    lag: integer, how much to shift the wave\n",
    "\n",
    "    returns: float correlation coefficient\n",
    "    \"\"\"\n",
    "    n = len(wave)\n",
    "    y1 = wave.ys[lag:]\n",
    "    y2 = wave.ys[:n-lag]\n",
    "    corr_mat = np.corrcoef(y1, y2)\n",
    "    return corr_mat[0, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lags, corrs = autocorr(wave)\n",
    "plt.plot(lags, corrs)\n",
    "decorate(xlabel='Lag',\n",
    "         ylabel='Correlation')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The ACF drops off slowly as lag increases, suggesting some kind of pink noise."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can compare my implementation of `autocorr` with `np.correlate`, which uses the definition of correlation used in signal processing.  It doesn't unbias, normalize, or standardize the wave."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = len(wave)\n",
    "corrs2 = np.correlate(wave.ys, wave.ys, mode='same')\n",
    "lags = np.arange(-N//2, N//2)\n",
    "plt.plot(lags, corrs2)\n",
    "decorate(xlabel='Lag',\n",
    "         ylabel='Dot product')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The second half of the result corresponds to positive lags:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = len(corrs2)\n",
    "half = corrs2[N//2:]\n",
    "plt.plot(half)\n",
    "decorate(xlabel='Lag',\n",
    "         ylabel='Dot product')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can standardize the results after the fact by dividing through by `lengths`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lengths = range(N, N//2, -1)\n",
    "half /= lengths\n",
    "half /= half[0]\n",
    "plt.plot(half)\n",
    "decorate(xlabel='Lag',\n",
    "         ylabel='Dot product')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can compare the two."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(corrs, label='autocorr')\n",
    "plt.plot(half, label='correlate')\n",
    "decorate(xlabel='Lag', ylabel='Correlation')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Even after standardizing, the results look substantially different. \n",
    "\n",
    "For this dataset, the statistical definition of ACF is probably more appropriate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2\n",
    "\n",
    "The example code in `chap05.ipynb` shows how to use autocorrelation\n",
    "to estimate the fundamental frequency of a periodic signal.\n",
    "Encapsulate this code in a function called `estimate_fundamental`,\n",
    "and use it to track the pitch of a recorded sound.\n",
    "\n",
    "To see how well it works, try superimposing your pitch estimates on a\n",
    "spectrogram of the recording."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "if not os.path.exists('28042__bcjordan__voicedownbew.wav'):\n",
    "    !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/28042__bcjordan__voicedownbew.wav"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from thinkdsp import read_wave\n",
    "\n",
    "wave = read_wave('28042__bcjordan__voicedownbew.wav')\n",
    "wave.normalize()\n",
    "wave.make_audio()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I'll use the same example from `chap05.ipynb`.  Here's the spectrogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wave.make_spectrogram(2048).plot(high=4200)\n",
    "decorate(xlabel='Time (s)', \n",
    "         ylabel='Frequency (Hz)')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And here's a function that encapsulates the code from Chapter 5.  In general, finding the first, highest peak in the autocorrelation function is tricky.  I kept it simple by specifying the range of lags to search."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def estimate_fundamental(segment, low=70, high=150):\n",
    "    lags, corrs = autocorr(segment)\n",
    "    lag = np.array(corrs[low:high]).argmax() + low\n",
    "    period = lag / segment.framerate\n",
    "    frequency = 1 / period\n",
    "    return frequency"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here's an example of how it works."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "436.63366336633663"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "duration = 0.01\n",
    "segment = wave.segment(start=0.2, duration=duration)\n",
    "freq = estimate_fundamental(segment)\n",
    "freq"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And here's a loop that tracks pitch over the sample.\n",
    "\n",
    "The `ts` are the mid-points of each segment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "step = 0.05\n",
    "starts = np.arange(0.0, 1.4, step)\n",
    "\n",
    "ts = []\n",
    "freqs = []\n",
    "\n",
    "for start in starts:\n",
    "    ts.append(start + step/2)\n",
    "    segment = wave.segment(start=start, duration=duration)\n",
    "    freq = estimate_fundamental(segment)\n",
    "    freqs.append(freq)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here's the pitch-tracking curve superimposed on the spectrogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wave.make_spectrogram(2048).plot(high=900)\n",
    "plt.plot(ts, freqs, color='white')\n",
    "decorate(xlabel='Time (s)', \n",
    "                     ylabel='Frequency (Hz)')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks pretty good!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
